Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dd |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-182684410713630000 = -1 · 24 · 39 · 54 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125255,-26689553] |
[a1,a2,a3,a4,a6] |
Generators |
[973:27296:1] |
Generators of the group modulo torsion |
j |
-17665842966075/14850127376 |
j-invariant |
L |
9.0757813228624 |
L(r)(E,1)/r! |
Ω |
0.12253480888684 |
Real period |
R |
1.0287078383578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450r1 72450c2 |
Quadratic twists by: -3 5 |